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A short class with Sarah and her students. The other ways are under More.
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Good morning, everyone! Today, we're diving into the world of successive discounts—an essential concept in commercial math!
What exactly is a successive discount?
Great question! Successive discounts mean applying one discount after another on an item. For example, if a shirt costs $100 and has a 10% discount followed by another 20%, we apply the second discount on the price after the first discount.
So how do we calculate the selling price with multiple discounts?
We use the formula S.P. = M.P. × (1 - d1/100) × (1 - d2/100). Here, M.P. is the marked price and d1 and d2 are the discount percentages.
Could we do an example together?
Absolutely! Let's say an item has a marked price of $200, and there are discounts of 15% and 25%. The selling price will be calculated as follows: S.P. = 200 × (1 - 0.15) × (1 - 0.25).
I see how that works!
To summarize, successive discounts are calculated on an adjusted price, leading to a lower final price than expected if a single discount were applied. Keep practicing using the formula!
Let's practice! If a television has a marked price of $450 with discounts of 10% and 5%, how would you find the selling price?
First, we calculate 10% off, which gives us $450 - $45, leaving $405.
Then we take 5% off of $405, which is $20.25, right?
Correct! So what’s the final selling price?
It’s $405 - $20.25, equaling $384.75!
Well done! Remember, understanding successive discounts helps in real-life situations, like shopping!
Now, let’s talk about where we see successive discounts in real life. Can anyone give an example?
How about during holiday sales or clearance events?
Exactly! Retailers often advertise multiple discounts to encourage purchase. Knowing how to compute these helps consumers get the best deals.
I think I understand it better now!
Let’s summarize today's lesson: Successive discounts are sequential discounts applied to already discounted prices, often used in sales promotions.
For discounts applied, step by step take a ride, reducing prices till you abide.
Imagine a shopper at a store finding a shirt for $100. First, there's a 10% discount which brings the price down to $90. Then, they find a 15% further discount, making the final price even sweeter at $76.50!
Remember the formula with 'M.S.A.': Marked Price, Sequential Discounts, Achieve Selling Price!
Use 'D.S.S.' to recall: Discounts on Selling Stepwise.
Term
What is the formula for calculating Selling Price with successive discounts?
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Term
What does d1 represent?
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Successive discounts involve applying multiple discounts sequentially to a marked price, leading to a modified selling price.
When more than one discount is offered on a product, successive discounts are calculated by applying each discount on the reduced price sequentially. This method affects the final selling price, which is derived from the marked price using a specific formula.
Successive discounts occur when an item has multiple discounts applied consecutively rather than a single discount. This is commonplace in retail and sales promotions. The final selling price is calculated using the formula:
S.P. = M.P. × (1 - d1/100) × (1 - d2/100)
where M.P. is the marked price, and d1 and d2 are the successive discount percentages expressed in decimal form. This method ensures that subsequent discounts are calculated on the already discounted price, leading to a compounded effect that significantly alters the final selling price. Understanding how to compute successive discounts is essential for accurate pricing in commercial settings.